Recursion relations for gravitational lensing. (arXiv:1904.04471v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Normann_B/0/1/0/all/0/1">Ben David Normann</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Clarkson_C/0/1/0/all/0/1">Chris Clarkson</a>
The weak lensing formalism can be extended to the strong lensing regime by
integrating the nonlinear geodesic deviation equation. The resulting “roulette”
expansion generalises convergence, shear and flexion to arbitrary order. By
formulating this into a compact complex notation we derive a family of
recursion relations between the various coefficients of this expansion,
generalising the Kaiser-Squires relations to strong lenses.
The weak lensing formalism can be extended to the strong lensing regime by
integrating the nonlinear geodesic deviation equation. The resulting “roulette”
expansion generalises convergence, shear and flexion to arbitrary order. By
formulating this into a compact complex notation we derive a family of
recursion relations between the various coefficients of this expansion,
generalising the Kaiser-Squires relations to strong lenses.
http://arxiv.org/icons/sfx.gif
